In this paper we are interested in Monte Carlo pricing of American options via the Longstaff–Schwartz algorithm. In particular, we show that it is possible to obtain a variance reduction technique based on importance sampling by means of Girsanov theorem. The almost sure convergence of the...

The Ising spin model in multiple helices with hierarchically organized interactions is investigated using Monte Carlo simulations. The numerical result of specific heat shows that the Curie temperature of the ferromagnetic transition is strongly dependent on to what extent the basal helix is...

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which corresponds to an individual-based population dynamics of...